Respuesta :
Answer:
Step-by-step explanation:
Alright, lets get started.
Suppose one side of the kite is x
One side of a kite is 5 cm less than 2 times the length of another.
So, another side of the kite will be = [tex]2x-5[/tex]
So, the all 4 sides of the kite will be x, x , 2x-5 and 2x-5
The perimeter of the kite will be = [tex]x+x+2x-5+2x-5=6x-10[/tex]
As per given in question, perimeter is 14, so
[tex]6x-10=14[/tex]
Adding 10 in both sides
[tex]6x=24[/tex]
Dividing 6 in both sides
[tex]x=4[/tex]
So, another side is [tex]2*4-5=3[/tex]
So, the sides are 4 cms and 3 cms : Answer D
Hope it will help :)
Answer:
D) 4 cm, 3 cm
Step-by-step explanation:
Since we know that kite is made of two sets of equal sides.
Let x be the length of one of equal sides and y be length of another side of equal sides.
We have been given that one side of a kite is 5 cm less than 2 times the length of another. We can represent this information as:
[tex]x+5=2y...(1)[/tex]
We are also told that the perimeter is 14 cm. We can represent this information as:
[tex]2(x+y)=14...(2)[/tex]
From equation (1) we will get,
[tex]x=2y-5[/tex]
Substituting this value in equation (2) we will get,
[tex]2(2y-5+y)=14[/tex]
[tex]2(3y-5)=14[/tex]
[tex]6y-10=14[/tex]
[tex]6y-10+10=14+10[/tex]
[tex]6y=24[/tex]
[tex]y=\frac{24}{6}[/tex]
[tex]y=4[/tex]
Therefore, length of one side of kite is 4 cm.
Upon substituting y=4 in equation (1) we will get,
[tex]x+5=2*4[/tex]
[tex]x+5=8[/tex]
[tex]x+5-5=8-5[/tex]
[tex]x=3[/tex]
Therefore, the length of another side of kite is 3 cm and option D is the correct choice.
